What is the effect of acid on the solubility of AgCl and Ag2CO3?
First of all it depends on the acid. If you use the conjugate acid of the anion eg HCl for AgCl then you have a common ion effect and thus you will be reducing the solubility. If you use an acid like HNO3, which doesn’t have a common ion, doesn’t form a different precipitate with Ag+, or a complex ion with Ag+, then the solubility of AgCl should not be affected as HCl is also a stong acid and thus in solution you will have the Ag+, Cl-, H+ and NO3- ions. On the other hand, the solubility of Ag2CO3 will increase since H2CO3 is a weak acid, so some of the CO3^-2 ions will now become HCO3^-1 and if you acidify a lot then you will have some H2CO3 forming which will decompose in H2O and gas CO2 and a lot of the CO2 will leave the solution.